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Finding the Third Proportional to 49,923 and 108,594

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Solution

The third proportional to 49,923 and 108,594 is: 236,216.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,923 : 108,594 = 108,594 : x
  2. Step 2: Convert to fraction form
    49,923/108,594 = 108,594/x
  3. Step 3: Cross multiply
    49,923x = 108,594 × 108,594
  4. Step 4: Simplify right side
    49,923x = 11,792,656,836
  5. Step 5: Solve for x
    x = 11,792,656,836/49,923
  6. Step 6: Final answer
    x = 236,216.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.